The roots of the quadratic equation x^2 + 7x + 10 = 0 are -2 and -5.

## So let us investigate the query more attentively

The quadratic equation x^2 + 7x + 10 = 0 is a standard form of a quadratic equation and can be solved using the quadratic formula. By substituting the values of a, b, and c in the formula, the roots can be found. In this case, the roots are -2 and -5.

“Mathematics, rightly viewed, possesses not only truth but supreme beauty.” – Bertrand Russell

Interesting Facts:

- A quadratic equation is a second-degree polynomial equation that has the form ax^2+bx+c=0.
- The quadratic formula is the solution of the quadratic equation in terms of the coefficients a, b, and c, which assures that there are always two solutions of the equation.
- The roots of a quadratic equation provide valuable information about the curve of the equation, such as the vertex and the direction of the parabola.
- Quadratic equations are applicable in different fields of science, such as physics, engineering, and finance, particularly in determining the maximum and minimum values of functions.

Table:

Quadratic Equation | Standard Form | Roots |
---|---|---|

x^2 + 7x + 10 = 0 | ax^2+bx+c=0 | -2, -5 |

In conclusion, the roots of the quadratic equation x^2 + 7x + 10 = 0 are -2 and -5. This has been achieved through substituting the values of a, b, and c in the quadratic formula. Through the quote from Bertrand Russell, it is clear that mathematics, including solving quadratic equations, is both truthful and beautiful. Additionally, the provided facts on quadratic equations demonstrate their widespread applicability in various scientific fields. The table summarizes the quadratic equation’s details, standard form, and roots.

## Answer in video

The video teaches how to find the roots of the quadratic equation x^2 + 7x + 10 = 0 via factorization, using the method of splitting the middle term. The process involves multiplying the quadratic equation by 10x^2, and selecting two numbers that result in a product of 10x^2 and a sum of 7x, then adding x to the expression. This results in two factors, (x+2) and (x+5), which when equated to zero, give -2 and -5 as the roots of the quadratic equation.

## See more answers from the Internet

Answer:The roots of the equation x2 + 7x + 10 = 0, is

-5 and -2.

Therefore, the roots of the quadratic equation are

x = 2 and x = 5. We can observe that the roots of the quadratic equation x 2 – 7x + 10 = 0 are x = 2 and x = 5 in each of the methods.

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